Mr. Benedict left half of his estate to his wife, one fourth to his son, one fifth to his daughter, and the remainder, $5000 to his collage. What is the total amount left by Mr. Benedict?
A. $9,250
B. $10,000
C. $16,000
D. $50,000
E. $100,000

Question

Mr. Benedict left half of his estate to his wife, one fourth to his son, one fifth to his daughter, and the remainder, $5000 to his collage. What is the total amount left by Mr. Benedict?
A. $9,250
B. $10,000
C. $16,000
D. $50,000
E. $100,000

texaschic101 · Answer

1/2x + 1/4x + 1/5x + 5000 = x
10/20x + 5/20x + 4/20x + 5000 = x
19/20x + 5000 = x
5000 = x - 19/20x
5000 = 20/20x - 19/20x
5000 = 1/20x
5000/(1/20) = x
5000 * 20/1 = x
100,000 = x

check...
1/2(100,000) + 1/4(100,000) + 1/5(100,000) + 5000 = 100,000
50,000 + 25,000 + 20,000 + 5,000 = 100,000
100,000 = 100,000 (correct)

texaschic101 · Answer

any questions ?

anonymous · Answer

no my answers r already answered

texaschic101 · Answer

good to hear :)